Physics

The actual value of the acceleration of gravity is $$9.8\ m/s$$. Physics students in a laboratory experiment use a pendulum to determine the acceleration of gravity. Their experimental value is $$9.2 m/s$$.
What is their percent error?


ANSWER

$$6.1$$%


SOLUTION
Absolute error in $$g$$:  $$\Delta g = |9.8 - 9.2| =0.6$$  $$m/s$$
$$\therefore$$ Percentage error $$ = \dfrac{\Delta g}{g_{actual}} \times  100 = \dfrac{0.6}{9.8} \times 100  = 6.1$$ %
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